Figure 6. Graphs of the Gamma-distribution function for
1
=
and different
values of
Figure 7. Graphs of the Gamma-distribution function for
2
=
and
1
2
=
The integral gamma-distribution function is as follows:
(
)
(
)
()
1
0
,
0,
,,
0,
0,
t
u
Г
u
e
dut
PX
t
F
t
Г
t
−−
=
=
(3)
This function, considering three parameters, is complex for tabulation. So, let us
switch to an incomplete gamma-function enabling us to tabulate on the plane [3].
Applying substitution in the integral (3) depending on three parameters, we
receive the integral depending on two parameters.
1
2
3
4
5
6 7
t
1
0,25
0,5
0,75
1
2
t
0,4
0,8
0,2
0,6
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